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Algebraic proofs of Dirichlet's theorem on arithmetic progressions
 Čech, Martin ; Kala, Vítězslav (advisor) ; Příhoda, Pavel (referee)
Dirichlet's theorem on arithmetic progressions says that there are infinitely many primes in any arithmetic progression an = kn + with coprime k, . The original proof of this theorem was analytic using a lot of non-elementary methods. The goal of this thesis is to give sufficient and necessary conditions on k and under which a more elementary algebraic proof of the theorem can exist, and give the proof in these cases. 1
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Algebraic proofs of Dirichlet's theorem on arithmetic progressions
 Čech, Martin ; Kala, Vítězslav (advisor) ; Příhoda, Pavel (referee)
Dirichlet's theorem on arithmetic progressions says that there are infinitely many primes in any arithmetic progression an = kn + with coprime k, . The original proof of this theorem was analytic using a lot of non-elementary methods. The goal of this thesis is to give sufficient and necessary conditions on k and under which a more elementary algebraic proof of the theorem can exist, and give the proof in these cases. 1
Detailed record

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